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Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics

Franceschini, C
•
Goncalves, P
•
Sau, F
2022
  • journal article

Periodico
BERNOULLI
Abstract
We study the hydrodynamic and hydrostatic limits of the one-dimensional open symmetric inclusion process with slow boundary. Depending on the value of the parameter tuning the interaction rate of the bulk of the system with the boundary, we obtain a linear heat equation with either Dirichlet, Robin or Neumann boundary conditions as hydrodynamic equation. In our approach, we combine duality and first-second class particle techniques to reduce the scaling limit of the inclusion process to the limiting behavior of a single, non-interacting, particle.
DOI
10.3150/21-BEJ1390
WOS
WOS:000766619100025
Archivio
https://hdl.handle.net/11368/3043503
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85128942725
https://projecteuclid.org/journals/bernoulli/volume-28/issue-2/Symmetric-inclusion-process-with-slow-boundary-Hydrodynamics-and-hydrostatics/10.3150/21-BEJ1390.full
Diritti
open access
license:digital rights management non definito
license uri:iris.pri00
FVG url
https://arts.units.it/bitstream/11368/3043503/2/21-BEJ1390.pdf
Soggetti
  • Symmetric inclusion p...

  • slow boundary

  • hydrodynamic limit

  • hydrostatic limit

  • non-equilibrium stead...

  • duality for Markov pr...

  • second class particle...

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